• Korean Journal of Logic
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• v.23 no.2
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• pp.117-159
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• 2020

In the early Wittgenstein's Tractatus, both philosophy of logic and that of mathematics belong to the most crucial subjects of it. What is the philosophical view of the early Wittgenstein in the Tractatus? Did he, for example, accept Frege and Russell's logicism or reject it? How did he stipulate the relation between logic and mathematics? How should we, for example, interpretate "Mathematics is a method of logic."(6.234) and "The Logic of the world which the proposition of logic show in the tautologies, mathematics shows in equations."(6.22)? Furthermore, How did he grasp the relation between mathematical equations and tautologies? In this paper, I will endeavor to answer these questions.

• Korean Journal of Logic
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• v.21 no.2
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• pp.231-268
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• 2018

Wittgenstein asserts in the Tractatus Logico-Philosophicus 5.542 that "A believes that p" is of the form "'p' says p" and "here we have no co-ordination of a fact and an object, but a co-ordination of facts by means of a co-ordination of their objects." What does, then, it mean exactly that 'p' says p? What are "facts" and "a co-ordination" in the expression "a co-ordination of facts"? Are propositional attitude statements significant propositions or not? Furthermore, what is the point of Wittgenstein's criticism of Russell's theory of judgement? In this paper, I will answer these questions on the basis of Wittgenstein's explication of the concept of thought and Ramsey's relevant remark on propositional attitude. Meanwhile propositional attitude statements are bound up with solipsism of the Tractatus Logico-Philosophicus and some of them have senses. Hence both of assertions that all the propositional attitude statements are significant and all of them are nonsense in the Tractatus Logico-Philosophicus are not correct.

• Journal of Science of Art and Design
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• v.1
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• pp.11-62
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• 1999

The paper aims to survey some features in the 20th century's semantic analyses of the pictorial representation as a paradigm concept. Here the most typical pattern of paradigms to approach it were thought that one is Referential Semantics which begins with Wittgenstein's Picture Theory, the other, Ontological Semantics concerned with .Langer's Symbol Theory. In the light of paradigm theory, some results acquired are as follows. First, the two paradigms are recognized as those of a mutually different philosophical background. So as far as the researcher is concerned, their arguments are contradictory each other. Second, it must be emphasized that each of them all have a possible aspect of necessary and sufficient requirements. to interpret and analyze the meaning of artistic representation. In result, the Referential and Ontological Semantics can work with a complementary partnership. In short, the referential meaning constructs a infrastructure of the picture, whereas the ontological meaning does it's infrastructure.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.59-74
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• 2015

It is an increasing research area to explore mathematics learning from discursive perspectives. However, there have been little studies conducted on why and how discursive perspectives in mathematics learning were adopted and developed. Especially, not much discussion has been done on the later Wittgenstein's philosophical stance in terms of the relationship between language and thought as a background of discursive approach to learning mathematics. This study aims to explore the later Wittgenstein on language to get better understanding about discursive approaches to mathematics learning. For the attainment of this aim, first the later philosophy is compared with the former philosophy in depth. Then the later philosophy is discussed focusing on how his point of view on the world and the language have been changed. After providing an account of his later philosophy, it is clarified that what is discursive approaches to learning mathematics and how this philosophy brace the approaches. This research concludes with implications and limitations, as well as suggestions for future researches.

• Korean Journal of Logic
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• v.19 no.1
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• pp.1-49
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• 2016

In the Tractatus, 'logical space' raises the several puzzles as follows. What are logical space, logical coordinates and logical place? What is the point of such analogies and what do they refer to exactly in the Tractatus? And what do occupy logical space? Can facts, proposition, propositional sign, situation and contradiction occupy it respectively? Or is it impossible to reconcile the remarks concerning logical place in the Tractatus? Futhermore, why did Wittgenstein need the concept of logical space? What is the problem that he tried to solve through this concept? In this paper, I will endeavor to answer to these problems. Logical space in the Tractatus is the system of propositions with senses. And it is the concept which Wittgenstein contrived by making model of Hertz's configuration space. Wittgenstein's fundamental coordinates are in some ways similar to geometrical ones. On the other hand logical coordinates are completely different from geometrical ones. Hence attempts to understand logical space by a kind of geometrical spaces cannot be right at all.

• Korean Journal of Logic
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• v.22 no.3
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• pp.417-446
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• 2019

The operation theory of the Wittgenstein's Tractatus Logico-Philosophicus is the essential basis of the philosophy of mathematics of the Tractatus. Wittgenstein presents the definition of cardinal numbers on the basis of operation theory, and suggests the proof of "$2{\times}2=4$" by using the theory of operations in 6.241. Therefore, in order to explicate correctly the philosophy of mathematics, it is required to understand rigorously the theory of operations in the Tractatus. Accordingly in this paper, I will endeavor to explicate operation theory of the Tractatus as a preliminary study for explicating the philosophy of mathematics of the Tractatus. In this process, we can ascertain Frascolla's important contributions and fallacies in his reconstruction of 6.241. In particular, we can understand the background that in 6.241 Wittgenstein made mistakes and that there he dealt with the addition operation of the theory of operations, and on the basis of this, we can reconstruct correctly 6.241.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.22 no.3
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• pp.374-380
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• 2021

Band Wittgenstein is a relatively band-shaped team since Shin Hae-Chul's previous big band "Next." The album, which features Shin Hae-Chul's unique lyrics and specific concepts, is also similar to the Next albums. However, there is a difference in sounds used on the album that are properly fused sampling based work and computer music. This album is a low-budget home recording album produced at a total cost of 3 million won. Shin Hae-Chul was in charge of the main vocals and programming, and all of the works were done together by the band members. In this album, Shin Hae-Chul focused on teamwork rather than producing his own music. The low budget could have been a constraint on music production, but it must be highly appreciated for it being a novel attempt. Musicians who create music always create conflicts between their favorite music and popular ones. However, without creative efforts, there is no evolution or development in the music industry. It is clear that constant changes can continue to develop musical ability, which leads to the development of Korean pop music.

• Korean Journal of Logic
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• v.18 no.1
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• pp.1-39
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• 2015

Are properties and relations objects in the Tractatus Logico-Philosophicus? In this paper I will discuss essentially important problems concerning that question. That is, I will try to show that in a sense the concept of objects of the Tractatus is closely intertwined with that of Frege, and moreover the former was suggested to overcome Frege's predicament concerning the concept of objects. In the process of our discussions, it must be kept in mind that these discussions have no relations with metaphysical disputes, but proceed only from a logical point view. Futhermore it is Ramsey that made a most decisive contribution on these problems. In this paper I will try to show that in the Tractatus, properties and relations are objects via the discussions of Ramsey who was under the direct influences of Wittgenstein.

• Korean Journal of Logic
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• v.17 no.1
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• pp.1-32
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• 2014

Both 5.52 and 5.521 of the Tractatus Logico-Philosophicus raise several questions. In this paper I will explicate Wittgenstein's concept of generality by answering such questions. These questions and problems are closely intertwined. I will try to show what follows. It is ${\xi}$-conditions that are most decisive on the concept of generality of the Tractatus. Except Ramsey, commentators such as Anscombe, Glock, Kenny etc. failed in accurately grasping the Wittgenstein's thoughts concerning ${\xi}$-condition and their claims are not fair at all. Futhermore, from a view point of history of logic, 5.52 has very important significances. That is to say, it anticipates for the first time a possibility of infinitary logic and the concept of universe of discourse in model theory.

• Journal of Korean Philosophical Society
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• v.143
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• pp.141-164
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• 2017

Artificial intelligence may be said like a human being. What is different thing between artificial intelligence and human intelligence? The people think that the artificial intelligence understands the meaning of the word to see artificial intelligence saying. However, it is different that artificial intelligence is identified as understanding a human being. We apply Wittgenstein's philosophy to this problem whether the artificial intelligence understands a meaning of language. We think that the artificial intelligence does not understand a live meaning of human life.